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Select the correct Answer: for each question. -Use the equation Select the correct Answer: for each question. -Use the equation     A)    B)    C)    D)    E)   Select the correct Answer: for each question. -Use the equation     A)    B)    C)    D)    E)


A) Select the correct Answer: for each question. -Use the equation     A)    B)    C)    D)    E)
B) Select the correct Answer: for each question. -Use the equation     A)    B)    C)    D)    E)
C) Select the correct Answer: for each question. -Use the equation     A)    B)    C)    D)    E)
D) Select the correct Answer: for each question. -Use the equation     A)    B)    C)    D)    E)
E) Select the correct Answer: for each question. -Use the equation     A)    B)    C)    D)    E)

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Select the correct Answer: for each question. -Find and classify the relative extrema and saddle points of the function Select the correct Answer: for each question. -Find and classify the relative extrema and saddle points of the function   A) None B)    Relative maximum C) Saddle point   Relative minimum D)


A) None
B) Select the correct Answer: for each question. -Find and classify the relative extrema and saddle points of the function   A) None B)    Relative maximum C) Saddle point   Relative minimum D)   Relative maximum
C) Saddle point Select the correct Answer: for each question. -Find and classify the relative extrema and saddle points of the function   A) None B)    Relative maximum C) Saddle point   Relative minimum D)   Relative minimum
D) Select the correct Answer: for each question. -Find and classify the relative extrema and saddle points of the function   A) None B)    Relative maximum C) Saddle point   Relative minimum D)

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Use the Chain Rule to find Use the Chain Rule to find    Use the Chain Rule to find

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Find the differential of the function. Find the differential of the function.

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Find Find   Select the correct Answer A)    B)    C)    D)    E) 0 Select the correct Answer


A) Find   Select the correct Answer A)    B)    C)    D)    E) 0
B) Find   Select the correct Answer A)    B)    C)    D)    E) 0
C) Find   Select the correct Answer A)    B)    C)    D)    E) 0
D) Find   Select the correct Answer A)    B)    C)    D)    E) 0
E) 0

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Find the absolute minimum value of the function Find the absolute minimum value of the function   on the set D.D is the region bounded by the parabola   and the line   Select the correct Answer A)    B)    C) 30 D)    E) 0 on the set D.D is the region bounded by the parabola Find the absolute minimum value of the function   on the set D.D is the region bounded by the parabola   and the line   Select the correct Answer A)    B)    C) 30 D)    E) 0 and the line Find the absolute minimum value of the function   on the set D.D is the region bounded by the parabola   and the line   Select the correct Answer A)    B)    C) 30 D)    E) 0 Select the correct Answer


A) Find the absolute minimum value of the function   on the set D.D is the region bounded by the parabola   and the line   Select the correct Answer A)    B)    C) 30 D)    E) 0
B) Find the absolute minimum value of the function   on the set D.D is the region bounded by the parabola   and the line   Select the correct Answer A)    B)    C) 30 D)    E) 0
C) 30
D) Find the absolute minimum value of the function   on the set D.D is the region bounded by the parabola   and the line   Select the correct Answer A)    B)    C) 30 D)    E) 0
E) 0

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Use Lagrange multipliers to find the maximum and the minimum of f subject to the given constraint(s). Use Lagrange multipliers to find the maximum and the minimum of f subject to the given constraint(s).

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maximum = ...

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Find the equation of the normal line to the given surface at the specified point. Find the equation of the normal line to the given surface at the specified point.

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Find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its 12 edges is Find the dimensions of a rectangular box of maximum volume such that the sum of the lengths of its 12 edges is

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Sketch the graph of the function Sketch the graph of the function

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Use the Chain Rule to find Use the Chain Rule to find   Select the correct Answer   A)    B)    C)    D)   Select the correct Answer Use the Chain Rule to find   Select the correct Answer   A)    B)    C)    D)


A) Use the Chain Rule to find   Select the correct Answer   A)    B)    C)    D)
B) Use the Chain Rule to find   Select the correct Answer   A)    B)    C)    D)
C) Use the Chain Rule to find   Select the correct Answer   A)    B)    C)    D)
D) Use the Chain Rule to find   Select the correct Answer   A)    B)    C)    D)

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Select the correct Answer: for each question. -Use the Chain Rule to find Select the correct Answer: for each question. -Use the Chain Rule to find     A)    B)    C)    D)    E)   Select the correct Answer: for each question. -Use the Chain Rule to find     A)    B)    C)    D)    E)


A) Select the correct Answer: for each question. -Use the Chain Rule to find     A)    B)    C)    D)    E)
B) Select the correct Answer: for each question. -Use the Chain Rule to find     A)    B)    C)    D)    E)
C) Select the correct Answer: for each question. -Use the Chain Rule to find     A)    B)    C)    D)    E)
D) Select the correct Answer: for each question. -Use the Chain Rule to find     A)    B)    C)    D)    E)
E) Select the correct Answer: for each question. -Use the Chain Rule to find     A)    B)    C)    D)    E)

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Select the correct Answer: for each question. -Find the maximum rate of change of Select the correct Answer: for each question. -Find the maximum rate of change of   at the point   In what direction does it occur? A)    B)    C)    D)    E) none of these at the point Select the correct Answer: for each question. -Find the maximum rate of change of   at the point   In what direction does it occur? A)    B)    C)    D)    E) none of these In what direction does it occur?


A) Select the correct Answer: for each question. -Find the maximum rate of change of   at the point   In what direction does it occur? A)    B)    C)    D)    E) none of these
B) Select the correct Answer: for each question. -Find the maximum rate of change of   at the point   In what direction does it occur? A)    B)    C)    D)    E) none of these
C) Select the correct Answer: for each question. -Find the maximum rate of change of   at the point   In what direction does it occur? A)    B)    C)    D)    E) none of these
D) Select the correct Answer: for each question. -Find the maximum rate of change of   at the point   In what direction does it occur? A)    B)    C)    D)    E) none of these
E) none of these

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Select the correct Answer: for each question. -Use the Chain Rule to find Select the correct Answer: for each question. -Use the Chain Rule to find     A)    B)    C)    D)   Select the correct Answer: for each question. -Use the Chain Rule to find     A)    B)    C)    D)


A) Select the correct Answer: for each question. -Use the Chain Rule to find     A)    B)    C)    D)
B) Select the correct Answer: for each question. -Use the Chain Rule to find     A)    B)    C)    D)
C) Select the correct Answer: for each question. -Use the Chain Rule to find     A)    B)    C)    D)
D) Select the correct Answer: for each question. -Use the Chain Rule to find     A)    B)    C)    D)

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Select the correct Answer: for each question. -Find the indicated partial derivative. Select the correct Answer: for each question. -Find the indicated partial derivative.   A)    B)    C)    D)    E)


A) Select the correct Answer: for each question. -Find the indicated partial derivative.   A)    B)    C)    D)    E)
B) Select the correct Answer: for each question. -Find the indicated partial derivative.   A)    B)    C)    D)    E)
C) Select the correct Answer: for each question. -Find the indicated partial derivative.   A)    B)    C)    D)    E)
D) Select the correct Answer: for each question. -Find the indicated partial derivative.   A)    B)    C)    D)    E)
E) Select the correct Answer: for each question. -Find the indicated partial derivative.   A)    B)    C)    D)    E)

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Select the correct Answer: for each question. -Find the indicated partial derivative. Select the correct Answer: for each question. -Find the indicated partial derivative.   A)    B)    C)    D)    E)


A) Select the correct Answer: for each question. -Find the indicated partial derivative.   A)    B)    C)    D)    E)
B) Select the correct Answer: for each question. -Find the indicated partial derivative.   A)    B)    C)    D)    E)
C) Select the correct Answer: for each question. -Find the indicated partial derivative.   A)    B)    C)    D)    E)
D) Select the correct Answer: for each question. -Find the indicated partial derivative.   A)    B)    C)    D)    E)
E) Select the correct Answer: for each question. -Find the indicated partial derivative.   A)    B)    C)    D)    E)

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At what point is the following function a local maximum? At what point is the following function a local maximum?

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Find three positive numbers whose sum is Find three positive numbers whose sum is   and whose product is a maximum. and whose product is a maximum.

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Determine the largest set on which the function is continuous. Determine the largest set on which the function is continuous.

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Let Let   Find   Select the correct Answer A) 24 B) 3/2 C)    D) 6 Find Let   Find   Select the correct Answer A) 24 B) 3/2 C)    D) 6 Select the correct Answer


A) 24
B) 3/2
C) Let   Find   Select the correct Answer A) 24 B) 3/2 C)    D) 6
D) 6

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